Abstract：For the problem of huge data encountered when homodyne interferometer is used in low frequency vibration calibration, first the properties of the spectrum of the interference is described, and then a dynamic successive phase unwrap algorithm is used, this method requires information about acceleration in the process. Based on this method, the sampling rate can be heavily reduced with losing information and a small capacity of data. During the process of the amplitude and phase angle estimation, a recursive method of least squares is recommended, with this method not only the computation of matrix inverse can be avoided, but also value of the parameters can be calculated online. To sum up, the methods proposed can broaden the low frequency range for vibration calibration using homodyne interferometer.
［1］ISO 1999 International Standard 16063-11 Methods for the calibration of vibration and shock transducers—Part 11: Primary vibration calibration by laser interferometry ［S］.1999.
［2］ISO 2001 International Standard 16063-13 Methods for the calibration of vibration and shock transducers—Part 13: Primary shock calibration using laser interferometry ［S］.2001.
［3］胡红波,孙桥,白杰. 基于窄脉冲冲击激励的压电加速度计动态校准［J］. 计量学报,2017, 38(2):184-188.
［4］于梅. 0.1 Hz～50 kHz直线振动幅值和相位国家计量基准系统的研究［J］. 振动与冲击,2007,26(7):54-58.
［5］于梅, 胡红波, 左爱斌,等. 新一代冲击加速度国家计量基准装置的研究与建立［J］.振动与冲击,2013,32(10):124-129.
［6］于梅, 孙桥, 冯源,等. 正弦逼近法振动传感器幅相特性测量技术的研究［J］. 计量学报,2004,25(4):344-348.
［7］SUN Q, Wabniski W, Thomas B. Investigation of primary vibration calibration at high frequencies using the homodyne quadrature sine-approximation method: problems and solutions［J］. Measurement Science & Technology, 2006, 17(8):2197-2205.
［8］Dániel I. Advanced successive phase unwrapping algorithm for quadrature output Michelson interferometers［J］. Measurement,2005, 37(2):95-102.
［9］Martens H V. Metrology of vibration measurements by laser techniques［C］// Eighth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications. International Society for Optics and Photonics, 2008:709802-709802-24.
［10］胡红波,于梅. 零差激光干涉仪正交相位误差的分析［J］. 光电工程,2012,39(12):55-62.
［11］陈才生. 数学物理方程［M］. 北京:科学出版社,2008.
［12］方崇智,萧德云. 过程辨识［M］. 北京:清华大学出版社,1988.
2018, Vol. 39 
